A composition for protecting a surface of an inorganic substrate, such as concrete, terrazzo, or ceramic tile, includes a silicate (i.e., an alkali metal polysilicate or a colloidal silica), a siliconate (e.g., a metal siliconate, such as an alkali metal methyl siliconate, etc.), acrylic latex, a silane coupling agent, and a solvent, such as ethylene glycol monobutyl ether. Inorganic substrates, such as concrete, stone, and ceramic materials, with such a composition on their surfaces are also disclosed, as are methods for polishing and protecting inorganic substrates.